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4140132200 = 2352173119657
BaseRepresentation
bin1111011011000101…
…0110011101101000
3101200112101111200122
43312301112131220
531434333212300
61522453222412
7204411354161
oct36661263550
911615344618
104140132200
111834aa6666
12976631a08
1350c976c89
142b3bd0768
15193705c85
hexf6c56768

4140132200 has 48 divisors (see below), whose sum is σ = 9681528780. Its totient is φ = 1646466560.

The previous prime is 4140132197. The next prime is 4140132209. The reversal of 4140132200 is 22310414.

It can be written as a sum of positive squares in 6 ways, for example, as 1850892484 + 2289239716 = 43022^2 + 47846^2 .

It is not an unprimeable number, because it can be changed into a prime (4140132209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25229 + ... + 94428.

Almost surely, 24140132200 is an apocalyptic number.

4140132200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4140132200 is an abundant number, since it is smaller than the sum of its proper divisors (5541396580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4140132200 is a wasteful number, since it uses less digits than its factorization.

4140132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119846 (or 119837 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 4140132200 is about 64343.8590698444. The cubic root of 4140132200 is about 1605.7258648100.

Adding to 4140132200 its reverse (22310414), we get a palindrome (4162442614).

The spelling of 4140132200 in words is "four billion, one hundred forty million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 173 200 346 692 865 1384 1730 3460 4325 6920 8650 17300 34600 119657 239314 478628 598285 957256 1196570 2393140 2991425 4786280 5982850 11965700 20700661 23931400 41401322 82802644 103503305 165605288 207006610 414013220 517516525 828026440 1035033050 2070066100 4140132200